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Finding the Third Proportional to 107,700 and 220,782

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Solution

The third proportional to 107,700 and 220,782 is: 452,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,700 : 220,782 = 220,782 : x
  2. Step 2: Convert to fraction form
    107,700/220,782 = 220,782/x
  3. Step 3: Cross multiply
    107,700x = 220,782 × 220,782
  4. Step 4: Simplify right side
    107,700x = 48,744,691,524
  5. Step 5: Solve for x
    x = 48,744,691,524/107,700
  6. Step 6: Final answer
    x = 452,596.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.